4292916160 has 112 divisors (see below), whose sum is σ = 11656624896. Its totient is φ = 1491812352.

The previous prime is 4292916119. The next prime is 4292916161. The reversal of 4292916160 is 616192924.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4292916161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40369 + ... + 101071.

It is an arithmetic number, because the mean of its divisors is an integer number (104077008).

Almost surely, 2^4292916160 is an apocalyptic number.

4292916160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4292916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828312448).

4292916160 is an abundant number, since it is smaller than the sum of its proper divisors (7363708736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4292916160 is a wasteful number, since it uses less digits than its factorization.

4292916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60750 (or 60740 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 4292916160 is about 65520.3492054186. The cubic root of 4292916160 is about 1625.2398743328.

The spelling of 4292916160 in words is "four billion, two hundred ninety-two million, nine hundred sixteen thousand, one hundred sixty".